This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair <int, int>;
#define f first
#define s second
#define vi vector <int>
#define pb push_back
constexpr int MAX_S = 2005;
int ks, n;
vector <pii> products[MAX_S];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> ks >> n;
for(int i = 0; i < n; i++){
int we, val, cop;
cin >> val >> we >> cop;
products[we].pb({val, cop});
}
vector <pii> best_items;
best_items.pb({0, 0});
for(int i = 1; i <= 2000; i++){
sort(products[i].begin(), products[i].end(), [](const pii& p1, const pii p2){ return p1.f > p2.f; });
int iter = 0;
// if(i == 10) cerr << "OK" << '\n';
vector <pii> curr;
while(curr.size() <= ks/i && iter < products[i].size()){
// if(i == 10) cerr << "OK" << '\n';
curr.pb({i, products[i].at(iter).f});
if(--products[i].at(iter).s == 0) iter++;
}
for(auto elem: curr){
best_items.pb(elem);
}
}
// for(auto elem: best_items){
// cerr << "best_items " << elem.f << ' ' << elem.s << '\n';
// }
int sz = best_items.size();
int dp[sz + 1][ks];
for(int i = 0; i <= ks; i++){
for(int j = 0; j <= sz; j++){
dp[j][i] = 0;
}
}
for(int i = 1; i < sz; i++){
for(int j = 0; j <= ks; j++){
dp[i][j] = dp[i - 1][j];
if(j >= 1) dp[i][j] = max(dp[i][j], dp[i][j - 1]);
if(j - best_items[i].f >= 0){
dp[i][j] = max(dp[i][j], dp[i - 1][j - best_items[i].f] + best_items[i].s);
if(j == 20){
// cerr << "\n---\n";
// cerr << "OK " << i << ' ' << j << '\n';
// cerr << "dp " << dp[i][j] << '\n';
// cerr << "dp prev " << dp[i - 1][j] << '\n';
// cerr << "best item " << best_items[i].f << ' ' << best_items[i].s << '\n';
// cerr << "dp oth " << dp[i - 1][j - best_items[i].f];
}
}
// cerr << "---" << '\n';
// cerr << "i j " << i << ' ' << j << '\n';
// cerr << "dp i j " << dp[i][j] << '\n';
// cerr << "dp prev " << dp[i - 1][j] << '\n';
// cerr << "dp oth " << dp[i - 1][j - best_items[i].f] << '\n';
// cerr << "best items " << best_items[i].f << ' ' << best_items[i].s << '\n';
}
}
// cerr << "\n---\n";
//
// for(int i = 1; i < sz; i++){
// for(int j = 0; j <= ks; j++){
// cerr << dp[i][j] << ' ';
// }
//
// cerr << "\n";
// }
//
// cerr << "\n---\n";
cout << dp[sz - 1][ks] << '\n';
}
Compilation message (stderr)
knapsack.cpp: In function 'int main()':
knapsack.cpp:48:31: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
48 | while(curr.size() <= ks/i && iter < products[i].size()){
| ~~~~~~~~~~~~^~~~~~~
knapsack.cpp:48:47: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
48 | while(curr.size() <= ks/i && iter < products[i].size()){
| ~~~~~^~~~~~~~~~~~~~~~~~~~
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